CN113260834B - Method for learning physical parameters of carrier gas liquid - Google Patents
Method for learning physical parameters of carrier gas liquid Download PDFInfo
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- CN113260834B CN113260834B CN201980084376.6A CN201980084376A CN113260834B CN 113260834 B CN113260834 B CN 113260834B CN 201980084376 A CN201980084376 A CN 201980084376A CN 113260834 B CN113260834 B CN 113260834B
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- 239000007788 liquid Substances 0.000 title claims abstract description 37
- 238000000034 method Methods 0.000 title claims abstract description 37
- 239000012159 carrier gas Substances 0.000 title claims abstract description 28
- 230000010355 oscillation Effects 0.000 claims abstract description 52
- 230000005284 excitation Effects 0.000 claims abstract description 42
- 238000012937 correction Methods 0.000 claims abstract description 28
- 238000005452 bending Methods 0.000 claims abstract description 27
- 238000005259 measurement Methods 0.000 claims abstract description 27
- 238000001739 density measurement Methods 0.000 claims abstract description 17
- 239000007789 gas Substances 0.000 claims abstract description 9
- 230000001419 dependent effect Effects 0.000 claims description 8
- 230000036962 time dependent Effects 0.000 claims description 6
- 230000001131 transforming effect Effects 0.000 claims description 2
- 239000007791 liquid phase Substances 0.000 claims 1
- 230000006870 function Effects 0.000 description 12
- 238000011161 development Methods 0.000 description 9
- 238000013459 approach Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 230000035945 sensitivity Effects 0.000 description 1
- 238000001228 spectrum Methods 0.000 description 1
- 230000003068 static effect Effects 0.000 description 1
- 239000000725 suspension Substances 0.000 description 1
- 230000009466 transformation Effects 0.000 description 1
Classifications
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01F—MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
- G01F1/00—Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow
- G01F1/74—Devices for measuring flow of a fluid or flow of a fluent solid material in suspension in another fluid
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01F—MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
- G01F1/00—Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow
- G01F1/66—Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow by measuring frequency, phase shift or propagation time of electromagnetic or other waves, e.g. using ultrasonic flowmeters
- G01F1/667—Arrangements of transducers for ultrasonic flowmeters; Circuits for operating ultrasonic flowmeters
- G01F1/668—Compensating or correcting for variations in velocity of sound
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01F—MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
- G01F1/00—Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow
- G01F1/76—Devices for measuring mass flow of a fluid or a fluent solid material
- G01F1/78—Direct mass flowmeters
- G01F1/80—Direct mass flowmeters operating by measuring pressure, force, momentum, or frequency of a fluid flow to which a rotational movement has been imparted
- G01F1/84—Coriolis or gyroscopic mass flowmeters
- G01F1/8409—Coriolis or gyroscopic mass flowmeters constructional details
- G01F1/8436—Coriolis or gyroscopic mass flowmeters constructional details signal processing
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01F—MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
- G01F15/00—Details of, or accessories for, apparatus of groups G01F1/00 - G01F13/00 insofar as such details or appliances are not adapted to particular types of such apparatus
- G01F15/02—Compensating or correcting for variations in pressure, density or temperature
- G01F15/022—Compensating or correcting for variations in pressure, density or temperature using electrical means
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N9/00—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N9/00—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity
- G01N9/002—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity using variation of the resonant frequency of an element vibrating in contact with the material submitted to analysis
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N9/00—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity
- G01N9/32—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity by using flow properties of fluids, e.g. flow through tubes or apertures
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N9/00—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity
- G01N9/002—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity using variation of the resonant frequency of an element vibrating in contact with the material submitted to analysis
- G01N2009/006—Investigating density or specific gravity of materials; Analysing materials by determining density or specific gravity using variation of the resonant frequency of an element vibrating in contact with the material submitted to analysis vibrating tube, tuning fork
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- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Fluid Mechanics (AREA)
- Life Sciences & Earth Sciences (AREA)
- Health & Medical Sciences (AREA)
- Chemical & Material Sciences (AREA)
- Analytical Chemistry (AREA)
- Biochemistry (AREA)
- General Health & Medical Sciences (AREA)
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- Engineering & Computer Science (AREA)
- Measuring Volume Flow (AREA)
Abstract
The invention relates to a method for determining a physical parameter of a liquid containing a gas charge by means of a measuring sensor having at least one measuring tube for guiding a medium, wherein the gas is present in the liquid, in particular in the form of suspended bubbles, wherein the measuring tube can be excited to oscillate in at least one bending oscillation mode, wherein the method (100) comprises the following steps: exciting the measuring tube (110) with a natural frequency of a bending oscillation mode, in particular a bending oscillation fundamental mode or a natural frequency of the f 1 mode; knowing the suppressed excitation frequency (130) when the oscillation amplitude of the measuring tube is minimal or vanishes; the suppressed excitation frequency is considered to be the same as the resonance frequency of the carrier gas liquid (140); a density correction term (150) is known as a function of the resonance frequency for correcting the preliminary density measurement and/or a mass flow correction term is known as a function of the resonance frequency for correcting the preliminary mass flow measurement and/or the speed of sound of the carrier gas liquid in the measuring tube as a function of the resonance frequency.
Description
Technical Field
The invention relates to a method for determining physical parameters of a carrier gas liquid by means of a measuring sensor having at least one measuring tube for guiding the carrier gas liquid, wherein the measuring tube has an inlet-side end section and an outlet-side end section, wherein the measuring sensor has at least one inlet-side fastening device and an outlet-side fastening device, by means of which the measuring tube is fastened in each of the end sections, wherein the measuring tube can be excited between the two fastening devices for oscillation, wherein the mass flow and the density of the carrier gas liquid can be determined as a function of the oscillation behavior of the measuring tube. However, the mass flow and density measurements have cross sensitivity to the speed of sound or compressibility of the carrier gas liquid, which increases as the gas loading increases. It is therefore desirable to compensate for such cross-sensitivity.
Background
A method for compressibility compensation in measuring mass flow in a coriolis mass flowmeter is disclosed by publication WO 01/01086 A1. The mass flow measurements are each carried out in two different modes, one being a flexural oscillation mode and the other being a radial mode. The mass flow values known by means of the two modes are compared. However, a problem with such a means is that the radial mode oscillations have a considerable dependence on the flow profile and the static pressure. Furthermore, more than two conventional sensors are required to detect bending mode oscillations as well as radial mode oscillations. While still requiring a more complex excitation structure.
In the first approximation, the relation of the preliminary density value ρ i of the carrier gas liquid based on the natural frequency f i of the f i mode can be described as:
Where c 0i、c1i and c 2i are pattern correlation coefficients.
However, the above approximation does not take into account the influence of the carrier gas liquid oscillating in the measurement tube. The closer the resonance frequency of the carrier gas liquid of the oscillation approaches the natural frequency of the flexural oscillation mode, the greater the influence on the natural frequency. Because the resonant frequency is typically higher than the natural frequency of the measurement tube, the effect on the f 3 bending mode of oscillation is greater than on the f 1 bending mode of oscillation. This results in different preliminary mode specific density values, wherein the ratio of preliminary density values provides the possibility to learn and correct the influence of the oscillating carrier gas liquid. This is described in the publication DE 10 2015 122 661 A1. However, if the resonance frequency of the carrier gas liquid coincides with the natural frequency of the flexural oscillation mode, the natural frequency is completely suppressed. In this case, the above means cannot be used. Publication DE 10 2016 005 547 A1 proposes in this case to know the value of the natural frequency of the suppressed bending oscillation fundamental mode by multiplying the natural frequency of the bending oscillation fundamental mode that can be excited by a certain factor. Although this improves the measurement accuracy to a certain extent, the fact that the information to be evaluated is contained in the frequency ratio means that the unknown second frequency is known by multiplying the first natural frequency by a factor which cannot be exactly estimated, which means that the measurement result is ultimately influenced by means of a more or less suitable model.
Disclosure of Invention
The task of the present invention is therefore to provide an improved solution for this situation.
This object is achieved according to the invention by a method for ascertaining a physical parameter of a liquid containing a gas charge by means of a measuring sensor having at least one measuring tube for guiding a medium,
Wherein the at least one measuring tube has an inlet-side end section and an outlet-side end section,
Wherein the measuring sensor has at least one inlet-side fastening device and outlet-side fastening devices, by means of which the measuring tube is fastened in each of the end sections, wherein the measuring tube can be excited between the two fastening devices in order to oscillate in at least one bending oscillation mode, wherein the method comprises the following steps:
exciting the measurement tube at a natural frequency of a flexural oscillation mode;
knowing the suppressed excitation frequency when the oscillation amplitude of the measuring tube is minimal or vanishes;
the suppressed excitation frequency is regarded as the same as the resonance frequency of the carrier gas liquid;
Knowing a density correction term as a function of the resonance frequency for correcting the preliminary density measurement and/or knowing a mass flow correction term as a function of the resonance frequency for correcting the preliminary mass flow measurement and/or knowing the speed of sound of the carrier gas liquid in the measuring tube as a function of the resonance frequency,
Wherein the suppressed excitation frequency is known by means of:
exciting the oscillation with an excitation signal in the form of white noise;
detecting the resulting time-dependent measurement tube deflection;
transforming the time-dependent measurement tube offset into the frequency domain by means of FFT;
Knowing the frequency at which the amplitude is at a minimum; and
The known frequency is considered to be the same as the suppressed excitation frequency.
The method according to the invention is used for ascertaining a physical parameter of a liquid containing a gas charge by means of a measuring sensor having at least one measuring tube for guiding a medium, wherein the gas is present in the liquid, in particular in the form of gas bubbles in suspension, wherein the at least one measuring tube has an inlet-side end section and an outlet-side end section, wherein the measuring sensor has at least one inlet-side fastening device and an outlet-side fastening device, by means of which the measuring tube is fastened in each case in one of the end sections, wherein the measuring tube can be excited between the two fastening devices in order to oscillate in at least one bending oscillation mode, wherein the method comprises the following steps: exciting the measuring tube with a natural frequency of a bending oscillation mode, in particular a bending oscillation fundamental mode or f 1 mode; knowing the suppressed excitation frequency when the oscillation amplitude of the measuring tube is minimal or vanishes; the suppressed excitation frequency is regarded as the same as the resonance frequency of the carrier gas liquid; knowing the density correction term as a function of the resonance frequency for correcting the preliminary density measurement and/or knowing the mass flow correction term as a function of the resonance frequency for correcting the preliminary mass flow measurement and/or knowing the speed of sound of the carrier gas liquid in the measuring tube as a function of the resonance frequency.
In one development of the invention, the suppressed excitation frequency is known by scanning a frequency range, wherein scanning the frequency range comprises, in particular: an excitation signal having a sequence of excitation frequencies in this frequency range is output for exciting the measuring tube to oscillate, and the frequency-dependent oscillation amplitude is detected.
In one development of the invention, the suppressed excitation frequency is determined by means of: exciting oscillations by means of an excitation signal in the form of white noise; detecting the resulting time-dependent measurement tube deflection; in particular, the time-dependent measurement tube offset is transformed into the frequency domain by means of FFT; knowing the frequency at the minimum of the amplitude; and the learned frequency is considered to be the same as the suppressed excitation frequency.
In one refinement of the invention, the method further comprises: knowing the preliminary density measurement and/or the preliminary mass flow measurement at the natural frequency of the excited bending oscillation mode, and knowing the corrected density measurement and/or the corrected mass flow measurement by using a density correction term and/or a mass flow correction term, wherein the density correction term and/or the mass flow correction term is a function of the resonance frequency and the natural frequency of the excited bending oscillation mode in which the preliminary density measurement and/or the preliminary mass flow measurement have been known.
In one development of the invention, the density correction term K i and/or the mass flow correction term for the preliminary density value is a function of the quotient of the resonance frequency of the carrier gas liquid and the natural frequency of the excited bending oscillation mode, in which the preliminary density measurement value and/or the mass flow measurement value is already known.
In one development of the invention, the density correction term K i of the preliminary density value ρ i based on the natural frequency of the f i mode has the following formula:
Wherein,
Where r is a medium independent constant, f res is the resonant frequency of the carrier gas liquid, f i is the natural frequency of the excited bending oscillation mode, ρ corr、ρi is the corrected and preliminary densities, and b is the proportionality constant. In one embodiment of this improvement, the following applies: r/b <1, in particular r/b <0.9, where in particular applies: b=1.
In one development of the invention, g is a proportionality factor between the resonance frequency f res of the carrier gas liquid and the speed of sound of the carrier gas liquid, depending on the diameter of the measuring tube, wherein it is appropriate that:
and outputs a sound velocity value obtained from the expression.
In one development of the invention, the preliminary density value based on the natural frequency of the f i mode is determined by means of a 1/f i polynomial, in particular a (1/f i)2) polynomial, the coefficients of which are mode-dependent.
In one development of the invention, for the density error E ρi based on the preliminary density value of the natural frequency of the f i mode, the following applies:
Eρi＝Ki-1，
Wherein the mass flow error E m of the preliminary mass flow value is proportional to the density error E ρ1 of the first preliminary density value, namely:
Em＝k·Eρ1，
wherein the scaling factor k is not less than 1.9 and not more than 2.1,
Wherein the scaling factor k is in particular 2,
Wherein, for the mass flow correction term K m of the mass flow, it is applicable that:
Km＝1+Em，
wherein the corrected mass flow rate Is known as:
Wherein, Is a preliminary mass flow value.
In one development of the invention, the f 1 mode and the f 3 mode are excited, their natural frequencies being known, wherein the frequency range in searching for suppressed excitation frequencies is ascertained as a function of the known natural frequencies.
In one development of the invention, a reference density, in particular of the liquid medium, is provided, wherein the frequency range in which the suppressed excitation frequency is searched is ascertained as a function of the reference density and possibly the natural frequency of the f 1 mode.
Drawings
The invention will now be described in detail with reference to embodiments thereof as illustrated in the accompanying drawings. In the figure:
Fig. 1: a flow chart showing an embodiment of a method according to the present invention;
Fig. 2a: a flow chart of a first embodiment for knowing the suppressed excitation frequency is shown in the embodiment according to fig. 1; and
Fig. 2b: a flow chart of a second embodiment for knowing the suppressed excitation frequency is shown in the embodiment according to fig. 1.
Detailed Description
An embodiment of a method 100 for determining a density value according to the invention is shown in fig. 1, which starts in step 110, wherein a bending oscillation mode, in particular an f 1 mode, also called bending oscillation fundamental mode, is excited.
The natural frequency of the excited bending oscillation mode, e.g. f 1 mode, is then determined, e.g. by maximizing the ratio of the oscillation amplitude to the mode-specific excitation power. By varying the excitation frequency, the searched natural frequency can be known.
Then, in step 120, based on the learned natural frequency f i, the preliminary density measurement ρ 1 is determined as:
Where c 0i、c1i and c 2i are mode dependent coefficients.
In step 130, a suppressed excitation frequency is determined, which will be described in detail below with reference to fig. 2a and 2b, which is set to a value of the resonance frequency fres of the carrier gas liquid in the measuring tube in step 140.
In step 150, a density correction term for the density measurement is determined based on the natural frequency f i and the resonance frequency f res of the measurement tube.
Finally, in step 160, a corrected density value is determined by means of the correction term.
Fig. 2a shows a first embodiment 130a of the method steps for ascertaining the suppressed excitation frequency.
The oscillations 131a are excited in a sequence of excitation frequencies in a frequency range in which an excitation frequency that is suppressed is expected. To identify the frequency range, for example, a reference value based on the preliminary density and the liquid density, the resonance frequency of the medium may be roughly estimated, and then the frequency range is selected around the estimated value. In a similar manner, the resonant frequency can be estimated from, for example, the ratio of the resonant frequencies of the f 1 mode and the f 3 mode.
For each excitation frequency, a frequency dependent oscillation amplitude 132a is detected.
Then, in the oscillation amplitude spectrum established in this way, the amplitude minimum value is known, which is identified as the suppressed excitation frequency 133a.
Fig. 2b shows a second embodiment 130b of the method steps for ascertaining the suppressed excitation frequency.
Here, the oscillations 131b of all frequencies are excited simultaneously with an excitation signal in the form of white noise, and then a time-varying sequence 132b of oscillation offsets is detected. The time-varying sequence is transformed into the frequency domain 133b by means of a fourier transformation, in particular an FFT, in which the amplitude minima as a function of frequency are then known as described above and identified as suppressed excitation frequencies 134b. For each excitation frequency, a frequency dependent oscillation amplitude 132a is detected.
To determine the density correction term K i according to step 150, the resonance frequency fres and the natural frequency f i for knowing the preliminary density value are inserted into the following equation:
where f i is the natural frequency of the uninhibited bending oscillation mode used to determine the preliminary ρ i density measurement. Where r is a constant, here a value of 0.84.
Finally, in step 160 of the method in fig. 1, a corrected density measurement ρ corr is calculated according to:
That is, the preliminary density value ρ i is divided by the correction term K i to obtain a corrected density value ρ corr.
Claims (20)
1. Method for determining a physical parameter of a liquid containing a gas charge by means of a measuring sensor having at least one measuring tube for guiding a medium,
Wherein the at least one measuring tube has an inlet-side end section and an outlet-side end section,
Wherein the measuring sensor has at least one inlet-side fastening device and an outlet-side fastening device, by means of which the measuring tube is fastened in each of the end sections, wherein the measuring tube can be excited between the two fastening devices in order to oscillate in at least one bending oscillation mode, wherein the method (100) comprises the following steps:
exciting the measurement tube (110) with a natural frequency of a bending oscillation mode;
knowing the suppressed excitation frequency (130) when the oscillation amplitude of the measuring tube is minimal or vanishes;
Treating the suppressed excitation frequency as being the same as a resonance frequency of the carrier gas liquid (140);
Knowing a density correction term (150) as a function of the resonance frequency for correcting the preliminary density measurement and/or knowing a mass flow correction term as a function of the resonance frequency for correcting the preliminary mass flow measurement and/or knowing the speed of sound of the carrier gas liquid in the measuring tube as a function of the resonance frequency,
Wherein the suppressed excitation frequency is known by means of:
exciting the oscillation with an excitation signal in the form of white noise;
detecting the resulting time-dependent measurement tube deflection;
transforming the time-dependent measurement tube offset into the frequency domain by means of FFT;
Knowing the frequency at which the amplitude is at a minimum; and
The known frequency is considered to be the same as the suppressed excitation frequency.
2. The method of claim 1, wherein the gas is present in the liquid in the form of suspended bubbles.
3. The method of claim 1, wherein the measurement tube is excited at a natural frequency of a fundamental bending oscillation mode or f 1 mode.
4. The method of claim 1, wherein the suppressed excitation frequency is known by scanning a range of frequencies.
5. The method of claim 4, wherein scanning the frequency range comprises: an excitation signal having a sequence of excitation frequencies in the frequency range is output for exciting the measuring tube to oscillate, and the frequency-dependent oscillation amplitude is detected.
6. The method of any one of claims 1 to 5, further comprising:
knowing a preliminary density measurement and/or a preliminary mass flow measurement at the natural frequency of the excited bending oscillation mode, and knowing a corrected density measurement and/or a corrected mass flow measurement by using the density correction term and/or the mass flow correction term, wherein,
The density correction term and/or the mass flow correction term is a function of the resonant frequency and the natural frequency of the excited bending oscillation mode under which the preliminary density measurement and/or the preliminary mass flow measurement is known.
7. The method of any one of claims 1 to 5, wherein the density correction term K i and/or mass flow correction term for a preliminary density value is a function of the resonance frequency of the carrier gas liquid and the natural frequency of the excited bending oscillation mode under which the preliminary density measurement and/or mass flow measurement is known.
8. The method according to any one of claims 1 to 5, wherein the density correction term K i of the preliminary density value ρ i based on the natural frequency of the f i mode has the following formula:
Wherein,
Where r is a medium independent constant, f res is the resonant frequency of the carrier gas liquid, f i is the natural frequency of the excited bending oscillation mode, ρ corr、ρi is the corrected and preliminary densities, and b is the proportionality constant.
9. The method of claim 8, wherein applicable is:
r/b<1。
10. the method of claim 8, wherein applicable is:
r/b<0.9。
11. the method of claim 9, wherein applicable is:
b＝1。
12. The method of claim 10, wherein applicable is:
b＝1。
13. the method according to any one of claims 1 to 5, wherein g is a proportionality factor between a resonance frequency f res of the carrier gas liquid and a sound velocity of the carrier gas liquid, related to a diameter of the measuring tube, wherein:
and outputs a sound velocity value obtained from the expression.
14. The method of claim 8, wherein the preliminary density value based on the natural frequency of the f i mode is determined by means of a 1/f i polynomial, wherein coefficients of the polynomial are mode dependent.
15. The method of claim 8, wherein the preliminary density value based on the natural frequency of the f i mode is determined by means of a (1/f i)2) polynomial, wherein coefficients of the polynomial are mode dependent.
16. The method of claim 8, wherein for a density error E ρi based on a preliminary density value of the natural frequency of the f i mode, it is applicable that:
Eρi＝Ki-1，
Wherein the mass flow error E m of the preliminary mass flow value is proportional to the density error E ρ1 of the first preliminary density value, namely:
Em＝k·Eρ1，
wherein the scaling factor k is not less than 1.9 and not more than 2.1,
Wherein, for the mass flow correction term K m of the mass flow, it is applicable that:
Km＝1+Em，
wherein the corrected mass flow rate Is known as:
Wherein, Is a preliminary mass flow value.
17. The method of claim 16, wherein the scaling factor k is 2.
18. The method according to any one of claims 1 to 5, wherein f 1 mode and f 3 mode are excited and their natural frequencies are known, and wherein the frequency range at which the suppressed excitation frequency is searched is confirmed in dependence on the known natural frequencies.
19. The method according to any one of claims 1 to 5, wherein a reference density is provided, and wherein the frequency range at which the suppressed excitation frequency is searched is confirmed in dependence on the reference density and the natural frequency of the possible f 1 modes.
20. The method of claim 19, wherein the reference density is a reference density of a liquid phase medium.
Applications Claiming Priority (5)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| DE102018133534 | 2018-12-21 | ||
| DE102018133534.2 | 2018-12-21 | ||
| DE102019106762.6 | 2019-03-18 | ||
| DE102019106762.6A DE102019106762A1 (en) | 2018-12-21 | 2019-03-18 | Method for determining a physical parameter of a liquid loaded with gas |
| PCT/EP2019/082050 WO2020126287A1 (en) | 2018-12-21 | 2019-11-21 | Method for ascertaining a physical parameter of a gas-charged liquid |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN113260834A CN113260834A (en) | 2021-08-13 |
| CN113260834B true CN113260834B (en) | 2024-06-04 |
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| CN201980084376.6A Active CN113260834B (en) | 2018-12-21 | 2019-11-21 | Method for learning physical parameters of carrier gas liquid |
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| Country | Link |
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| US (1) | US20220082423A1 (en) |
| EP (1) | EP3899446B1 (en) |
| CN (1) | CN113260834B (en) |
| DE (1) | DE102019106762A1 (en) |
| WO (1) | WO2020126287A1 (en) |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| DE102020131649A1 (en) | 2020-09-03 | 2022-03-03 | Endress + Hauser Flowtec Ag | Vibronic measuring system |
| DE102020131769A1 (en) | 2020-12-01 | 2022-06-02 | Endress+Hauser Flowtec Ag | Method for determining a density reading and Coriolis mass flow rate transmitter for performing the method |
| DE102021133150A1 (en) | 2021-12-14 | 2023-06-15 | Endress + Hauser Flowtec Ag | contraption |
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| US20220082423A1 (en) | 2022-03-17 |
| CN113260834A (en) | 2021-08-13 |
| EP3899446B1 (en) | 2023-01-04 |
| DE102019106762A1 (en) | 2020-06-25 |
| WO2020126287A1 (en) | 2020-06-25 |
| EP3899446A1 (en) | 2021-10-27 |
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